Simulation of Quantitative Relationship Between Morphological Feature Topographic Factors of Lunar Crater Based on DEM

Based on the surface DEM data of 100m resolution obtained by the laser altimetry method, 1407 different types of impact craters are selected to extract the topographic factor indicators of the crater morphology from multiple perspectives, and the morphological characteristics of the crater are analyzed. On the basis of the method of mathematical statistics and geographic modeling, the relationship between topographic factors is mainly discussed, and a multi-factor based quantitative model is further constructed to explain the intrinsic relationship between topographic factor information and crater morphology development. The results show that the depth-diameter ratio (y) and diameter (x₁), volume (x₂), circularity (x₃), posture ratio (x₄) and crater wall slope (x₅) can better characterize the morphological characteristics of the crater. Multiple linear regression fitting was used to construct the functional relationship between the indicators, and the significance of the fitted model at the 0.05 confidence level was F=492.037>>F_a. The significance of the fitted model was excellent, and its simulation function relationship was fitted. Goodness is 0.637. The simulation method is of great significance in the study of the morphological development of the lunar impact crater. It is a useful practice of digital terrain simulation and information mining of the crater feature.